We investigate Cohen-Macaulay representations of quotient singularities $ R:= l [[x_1,\cdots,
x_d]]^ G $ where $ l $ is a field and $ G $ is a finite group acting on $ l [[x_1,\cdots, x_d]] $ as …

arXiv:0711.2737v1 [math.AC] 17 Nov 2007 Invarianten zusammenhängender Gruppen und die
Cohen-Macaulay Eigenschaft Page 1 arXiv:0711.2737v1 [math.AC] 17 Nov 2007 Technische …

Xl"", Xd over a field k together with a such that the degrees of the Xi are at least one and the
constants have degree zero. Suppose A is a R-algebra (see § l for definition) which is a …

We study commutative Cohen-Macaulay rings whose Cohen-Macaulay representation
theory are controlled by representations of quivers, which we call hereditary representation …

Let $ A $ be an Iwanaga-Gorenstein ring. Enomoto conjectured that a self-orthogonal $ A $-
module has finite projective dimension. We prove this conjecture for $ A $ having the …

We study the converse of a theorem of Butler and Auslander–Reiten. We show that a Cohen–
Macaulay local ring with an isolated singularity has only finitely many isomorphism classes …

Consider a group acting on a polynomial ring $ S $ over a field $ K $ by degree-preserving $
K $-algebra automorphisms. The invariant ring $ R $ is a graded subring of $ S $; let …

Let Λ be a right quasi k-Gorenstein ring. For each dth syzygy module M in modΛ (where 0⩽
d⩽ k− 1), we obtain an exact sequence 0→ B→ M⊕ P→ C→ 0 in modΛ with the properties …

Let R^ univ be the universal deformation ring of a residual representation of a local Galois
group. Kisin showed that many loci in MaxSpec (R^ univ [1/p]) of interest are Zariski closed …

Abstract Let (A, 𝔪) (A,m) be a commutative complete equi-characteristic Gorenstein isolated
singularity of dimension d with k= A/𝔪 k=A/m algebraically closed. Let Γ (A) be the AR …